Question

An AC source is connected to a capacitor C. Due to decrease in its operating frequency ______.

Options

• displacement current increases.

• displacement current decreases.

• capacitive reactance remains constant

• capacitive reactance decreases.

Answer 1

An AC source is connected to a capacitor C. Due to decrease in its operating frequency displacement current decreases.

Explanation:

Displacement current (I_p) = Conduction current (I_c)

\[I_{D}=I_{C}=\frac{V}{X_{c}}\], where X_c = Capacitive reactance.

X_c = \[\frac {1}{ωC}\], where, ω = angular frequency and 

C = capacitance.

ω = 2πf, where f = frequency,

When f decreases, ω decreases, them X_c increases, so I_C or I_D decreses.